Spectral series of the Schrödinger operator in thin waveguides with periodic structure. I: Adiabatic approximation and semiclassical asymptotics in the 2D case

DOI10.1134/S1061920806040029zbMath1113.81031MaRDI QIDQ871785

S. Ya. Sekerzh-Zen'kovich, T. Ya. Tudorovskii, Jochen Brüning, S. Yu. Dobrokhotov

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Cites Work

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